Hi Laurie,
I'm sorry for your frustration. Product registration is only something which should happen the first time you launch the products. Would it be possible to post a screen shot of the registration prompt that keeps coming up? If you have a lot of programs on the computer it could be due to conflict between the Adobe programs and some other software on the computer.
There is a licensing issue with Photoshop CS6 which causes it to revert to trial mode, this is not related to registration though but is something else I've heard of that others are experiencing lately. With that issue the solution is to uninstall and reinstall Photoshop CS6 specifically. It might be a different issue than what you are experiencing.
Just trying to help,
-Dave